Found with PFGW Version 3.6.0

1765^3842-3842^1765 is 2-PRP! (5.6542s+0.0005s)
1765^3842-3842^1765 is 3-PRP! (5.6290s+0.0020s)
1765^3842-3842^1765 is 5-PRP! (5.6070s+0.0019s)
1765^3842-3842^1765 is 7-PRP! (5.6449s+0.0005s)
1765^3842-3842^1765 is 11-PRP! (5.6130s+0.0006s)

Primality testing 1765^3842-3842^1765 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
1765^3842-3842^1765 is Fermat and Lucas PRP! (28.7179s+0.0019s)

To be completed...